A Family of Stiffly Stable Linear Multistep Methods for Stiff and Highly Oscillatory Ordinary Differential Equations
Year: 1983
Journal of Computational Mathematics, Vol. 1 (1983), Iss. 1 : pp. 12–19
Abstract
This paper suggests a family of stiffly stable linear $k$-step methods with order $k$, for arbitrary $k$. Their stability regions are larger than those of the Gear method. Preliminary numerical test shows that these methods are efficient for stiff systems of ordinary differential equations with characteristic values near the imaginary axis.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/1983-JCM-9677
Journal of Computational Mathematics, Vol. 1 (1983), Iss. 1 : pp. 12–19
Published online: 1983-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 8